Dependence with complete connections and its applications
Author(s)
Bibliographic Information
Dependence with complete connections and its applications
（Cambridge tracts in mathematics, 96）
Cambridge University Press, 1990
Available at / 44 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:519.2/Io72070166466
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Note
Bibliography: p. [284]-302
Includes index
Description and Table of Contents
Description
Dependence with complete connections is a more general type of stochastic process than the well-known Markovian dependence, accounting for a complete history of a stochastic evolution. This book is an authoritative survey of knowledge of the subject, dealing with the basic theoretical understanding and also with applications. These arise in a variety of situations as diverse as stochastic models of learning, branching processes in random environments, continued fractions and dynamical systems. Thus the book will appeal to mathematicians working in probability theory, ergodic theory and number theory, as well as applied mathematicians, engineers, biologists and social scientists interested in applications of stochastic methods.
Table of Contents
- Preface
- Introduction
- 1. Fundamental notions
- 2. Ergodicity
- 3. The associated Markov chain
- 4. Asymptotic behaviour
- 5. Some special systems
- Appendices
- Notes and comments
- Reference
- Index.
by "Nielsen BookData"